A 625L vessel contains 295 moles of gas at a pressure of 160

A 6.25-L vessel contains 2.95 moles of gas at a pressure of 1.60 times 10^5 Pa. Find the temperature of the gas. Find the average kinetic energy of the gas molecules in the vessel. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J What additional information would you need if you were asked to find the average speed of the gas molecules? the dimensions of the vessel the molecular mass of the gas the change in temperature after a very long time No other additional information is needed.

Solution

Here ,

V = 6.25 L

n = 2.95

P = 1.6 *10^6 Pa

a) let the temperture of the gas is T

as P * V = n * R * T

1.6 *10^6 * 6.25 *10^-3 = 2.95 * 8.314 * T

T = 407.7 K

the temperature of gas is 407.7 K

b)

average kinetic energy of gas = 1.5 * k * T

average kinetic energy of gas = 1.5 * 1.38 *10^-25 * 407.7

average kinetic energy of gas = 8.443 *10^-21 J

c)

for the final speed, molecular mss of gas is needed